After Hours L.A.?

So, my recent (diatribe) post wherein I recounted my adventures finding a place for a Late Night cuppa (Night of the Noxious) found mention of several folks faves in the comments.

As the economic winds seem to favor the Diner over the Coffee House for After Hours gathering and/or introspection, what are your favorites, and why? Which are best for seeing a little bit of the Crazy come out after the clubs close, and which are good for relaxing in the Late Night for a chat or perhaps to court the Muse?

Any place with Internet Access? Exceptional Coffee? Exceptional Tea? Outstanding Jukebox selection? Great Food? Awesome staff? Other Amenities? Where are the After Hours places to be?

We’re talking actual Late Night venues here, kids. Anyplace shutting their doors at 2AM on a Friday Night is right off the list.

Leave your picks in The Comments, and reasons why. Feel free to include preferable nights of the week, or times, if applicable. (Late night, of course) Any info, and opinions you have are welcome. (Let us know places to avoid too, if you like)